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A227579 Number of lattice paths from {n}^n to {0}^n using steps that decrement one component such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n. 2
1, 1, 5, 290, 456033, 36470203156, 237791136700913751, 184570140930218389159747070, 23408169635197679203800470649923362577, 637028433009539403532335279417025047587902906655768, 4725612998324981086891784010767387049970117446517002416810380479702 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz and Vaclav Kotesovec, Table of n, a(n) for n = 0..14 (terms 0..12 from Alois P. Heinz)

EXAMPLE

a(2) = 5: [(2,2),(0,2),(0,0)], [(2,2),(0,2),(0,1),(0,0)], [(2,2),(1,2),(0,2),(0,0)], [(2,2),(1,2),(0,2),(0,1),(0,0)], [(2,2),(1,2),(1,1),(0,1),(0,0)].

MAPLE

b:= proc(l) option remember; `if`(l[-1]=0, 1, add(add(b(subsop(

      i=j, l)), j=`if`(i=1, 0, l[i-1])..l[i]-1), i=1..nops(l)))

    end:

a:= n-> `if`(n=0, 1, b([n$n])):

seq(a(n), n=0..9);

CROSSREFS

Main diagonal of A227578.

Sequence in context: A283569 A252173 A265966 * A257045 A256422 A140016

Adjacent sequences:  A227576 A227577 A227578 * A227580 A227581 A227582

KEYWORD

nonn,hard

AUTHOR

Alois P. Heinz, Jul 16 2013

EXTENSIONS

a(13)-a(14) in b-file from Vaclav Kotesovec, Nov 28 2016

STATUS

approved

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Last modified December 12 07:58 EST 2018. Contains 318053 sequences. (Running on oeis4.)